Information on Result #1047258

Linear OOA(398, 39, F3, 3, 67) (dual of [(39, 3), 19, 68]-NRT-code), using construction X applied to AG(3;F,20P) ⊂ AG(3;F,23P) based on
  1. linear OOA(393, 36, F3, 3, 67) (dual of [(36, 3), 15, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,20P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
  2. linear OOA(387, 36, F3, 3, 61) (dual of [(36, 3), 21, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,23P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(35, 3, F3, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(3182, 67, F3, 3, 118) (dual of [(67, 3), 19, 119]-NRT-code) [i]Juxtaposition for OOAs